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lesantik [10]
3 years ago
14

Find the product -a^4(7a^5- 5a+ 5)

Mathematics
1 answer:
Nostrana [21]3 years ago
3 0
-a^4(7a^5- 5a+ 5) = - 7a^{9} +5 a^{5} -5 a^{4}
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A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000
Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\

Applying logarithmic properties yields in the following linear system:

ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k

Solving for k:

ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192

Solving for C:

40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116

C= 82.1116

k=-0.0007192

6 0
2 years ago
g Disco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the prese
Marizza181 [45]

Answer:

The probability that the result is positive is P=0.04475=4.475%.

Step-by-step explanation:

We have the events:

D: disease present

ND: disease not present

P: test positive

F: test false

Then, the information we have is:

P(D)=0.005

P(P | D)=0.99

P(P | ND)=0.04

The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).

P(P)=P(P | D)*P(D)+P(P | ND)*(1-P(D))\\\\P(P)=0.99*0.005+0.04*0.995\\\\P(P)=0.00495+0.0398=0.04475

The probability that the result is positive is P=0.04475.

5 0
3 years ago
In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an equa
Alex_Xolod [135]
Assuming f(x) is the cost and X is the number of months.

f(x)=2x+40
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3 years ago
Five friends Al, Bet, Cat, Don, and Ella live on the island where everyone is either a knight or a knave
nalin [4]

Answer:

?

Step-by-step explanation:

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8 0
3 years ago
How yo calculate step by step 0.082×100​
IrinaK [193]

Answer:

8.2

Step-by-step explanation:

When you calculate it by 100, there are two zeros, so you move two decimals to the right.

This makes 8.2, and 8.2 will be the answer.

Another example could be... 0.082✖️10.

In this case, there is 1 zero, so you move the decimal to the right once, making it 0.82.

Hope this helps!!!

5 0
3 years ago
Read 2 more answers
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